Device-Independent Entanglement Quantification and Related Applications

Authors:Tobias Moroder, Jean-Daniel Bancal, Yeong-Cherng Liang, Martin Hofmann, Otfried Gühne
Journal:Phys. Rev. Lett. 111, 030501 (2013)
DOI:http://dx.doi.org/10.1103/PhysRevLett.111.030501
Abstract:We present a general method to quantify both bipartite and multipartite entanglement in a device-independent manner, meaning that we put a lower bound on the amount of entanglement present in a system based on the observed data only but independent of any quantum description of the employed devices. Some of the bounds we obtain, such as for the Clauser-Horne-Shimony-Holt Bell inequality or the Svetlichny inequality, are shown to be tight. Besides, device-independent entanglement quantification can serve as a basis for numerous tasks. We show in particular that our method provides a rigorous way to construct dimension witnesses, gives new insights into the question whether bound entangled states can violate a Bell inequality, and can be used to construct device-independent entanglement witnesses involving an arbitrary number of parties.
File:moroder2013a.pdf

BibTeX Source

@article{PhysRevLett.111.030501,
  title = {Device-Independent Entanglement Quantification and Related Applications},
  author = {Moroder, Tobias and Bancal, Jean-Daniel and Liang, Yeong-Cherng and Hofmann, Martin and G\"uhne, Otfried},
  journal = {Phys. Rev. Lett.},
  volume = {111},
  issue = {3},
  pages = {030501},
  numpages = {5},
  year = {2013},
  month = {Jul},
  doi = {10.1103/PhysRevLett.111.030501},
  url = {http://link.aps.org/doi/10.1103/PhysRevLett.111.030501},
  publisher = {American Physical Society},
  abstract = {We present a general method to quantify both bipartite and multipartite entanglement in a device-independent manner, meaning that we put a lower bound on the amount of entanglement present in a system based on the observed data only but independent of any quantum description of the employed devices. Some of the bounds we obtain, such as for the Clauser-Horne-Shimony-Holt Bell inequality or the Svetlichny inequality, are shown to be tight. Besides, device-independent entanglement quantification can serve as a basis for numerous tasks. We show in particular that our method provides a rigorous way to construct dimension witnesses, gives new insights into the question whether bound entangled states can violate a Bell inequality, and can be used to construct device-independent entanglement witnesses involving an arbitrary number of parties.}
}